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40423824 = 24327217337
BaseRepresentation
bin1001101000110…
…1000110010000
32211001202001200
42122031012100
540322030244
64002231200
71000411500
oct232150620
984052050
1040423824
1120900021
1211655500
1384b472c
145523a00
153837669
hex268d190

40423824 has 180 divisors, whose sum is σ = 139755564. Its totient is φ = 10838016.

The previous prime is 40423793. The next prime is 40423843. The reversal of 40423824 is 42832404.

It is a happy number.

40423824 is a `hidden beast` number, since 404 + 238 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 19079424 = 4620^2 + 4368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119784 + ... + 120120.

Almost surely, 240423824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40423824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69877782).

40423824 is an abundant number, since it is smaller than the sum of its proper divisors (99331740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40423824 is a wasteful number, since it uses less digits than its factorization.

40423824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40423824 is about 6357.9732619759. The cubic root of 40423824 is about 343.1988296046.

The spelling of 40423824 in words is "forty million, four hundred twenty-three thousand, eight hundred twenty-four".